Question:
Consider the four variables A, B, C and D and a function Z of these variables, Z=15A\(^2\)-3B\(^4\)+C+0.5D It is given that A, B, C and D must be non-negative integers and that all of the following relationships must hold:
i) \(2A+B\leq2\)
ii) \(4A+2B+C\leq12\)
iii) \(3A+4B+D\leq15\)
If Z needs to be maximised, then what value must D take?
Consider the four variables A, B, C and D and a function Z of these variables, Z=15A\(^2\)-3B\(^4\)+C+0.5D It is given that A, B, C and D must be non-negative integers and that all of the following relationships must hold:
i) \(2A+B\leq2\)
ii) \(4A+2B+C\leq12\)
iii) \(3A+4B+D\leq15\)
If Z needs to be maximised, then what value must D take?
i) \(2A+B\leq2\)
ii) \(4A+2B+C\leq12\)
iii) \(3A+4B+D\leq15\)
If Z needs to be maximised, then what value must D take?
Updated On: Aug 9, 2024
- 15
- 12
- 0
- 10
- 5
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The Correct Option is B
Solution and Explanation
The correct option is (B):12 .
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